Q. In$\ S = a + bt + {ct}^{2}$. $S$ is measured in metre and $t$ in $second$. The unit of $c$ is
A) None
B) $m$
C) $ms^{- 1}$
D) $ms^{- 2}$
Explanation
$ct^{2}$ must have dimensions of $L$ $\Rightarrow c\$must have dimensions of $L/T^{2}\ i.e.\ LT^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.